Hey, I would love if someone could please look over my answers. I just learned this yesterday and want to make sure I did my hw correct. Thanks!!!

Solve for x. Round answers to four decimal places where appropriate:

1. 6^x=6^2x-1 Ans.= x=1
2. 3^x=1/27 Ans.= x=-9
3. e^3x=10 Ans.=loge^10=3x
4. 50e^0.09t=200 Ans.= log50e^200=0.09t

5. lnx=-0.25 Ans.=e^0.25=x

3 answers

6^x = 6^(2x-1)
x = 2x-1
x = 1

3^x = 1/27
3^x = 3^-3
x = -3

e^(3x) = 10
3x = ln(10)
x = ln10/3 = 0.77

50e^(,09t) = 200
e^(.09t) = 4
.09t = ln4
t = ln4/.09 = 15.40

lnx = -0.25
x = e^-.25 = 0.7788
Steve! Thank you so much! I was way off! I'll be practicing more.
Calculate the oxidation number (O.N) of manganese in KMnO4.